title: [Contribution of non-linear mathematics (chaos theory) to EEG analysis].
abstract: Since 1963, nonlinear dynamics or "chaos theory" were widely used in various area of physics. The first application to the analysis of the human electroencephalogram (EEG) was performed in 1985. A tutorial revue of some concepts of nonlinear dynamics is presented with the various results obtained since 1985. The dimensional complexity of the EEG (DC) seems a good descriptor of the "desynchronisation" or decorrelation of the EEG: DC is high with eyes open, during a mental task and also during a tonic epileptic discharge. DC is low with eyes closed, during slow wave sleep, and during a clonic epileptic discharge. The measure of DC could allow a more objective comparison between various states of electrical cerebral activity.
authors.affiliation: Service d'EFSN, CHU Timone, Marseille.
authors.forename: M
authors.initials: M
authors.lastname: Rey
authors.forename: P
authors.initials: P
authors.lastname: Guillemant
mesh_terms: D004569:Electroencephalography / Q000706:statistics & numerical data*; D004827:Epilepsy / Q000175:diagnosis / Q000503:physiopathology; D006801:Humans; D017711:Nonlinear Dynamics
vernacular_title: Apport des mathématiques non-linéaires (théorie du chaos) à l'analyse de l'EEG.